Theorems · Theorem · commutative algebra

Ideal.LiesOver.of_eq_map_equiv

∀ {A : Type u_2} [inst : CommSemiring A] {B : Type u_3} {C : Type u_4} [inst_1 : Semiring B] [inst_2 : Semiring C]
  [inst_3 : Algebra A B] [inst_4 : Algebra A C] {P : Ideal B} {Q : Ideal C} (p : Ideal A) [P.LiesOver p] {E : Type u_6}
  [inst_6 : EquivLike E B C] [AlgEquivClass E A B C] (σ : E), Q = Ideal.map σ P → Q.LiesOver p

Defined in

Mathlib.RingTheory.Ideal.Over

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraIdeal.LiesOverEquivLikeAlgEquivClass